• Top
    • Documentation
    • Books
    • Recursion-and-induction
    • Boolean-reasoning
    • Debugging
    • Projects
    • Std
    • Proof-automation
    • Macro-libraries
    • ACL2
      • Theories
      • Rule-classes
      • Proof-builder
        • Instructions
        • Proof-builder-commands
          • ACL2-pc::rewrite
          • ACL2-pc::apply-linear
          • ACL2-pc::sequence
          • Proof-builder-commands-short-list
          • ACL2-pc::=
          • ACL2-pc::s
          • ACL2-pc::exit
          • ACL2-pc::type-alist
          • ACL2-pc::in-theory
          • ACL2-pc::equiv
          • ACL2-pc::comm
          • ACL2-pc::casesplit
          • ACL2-pc::add-abbreviation
          • ACL2-pc::dv
          • ACL2-pc::hyps
          • ACL2-pc::prove-termination
          • ACL2-pc::prove-guard
          • ACL2-pc::x
          • ACL2-pc::fancy-use
          • ACL2-pc::dive
          • ACL2-pc::generalize
          • ACL2-pc::lisp
          • ACL2-pc::show-rewrites
          • ACL2-pc::claim
          • ACL2-pc::put
          • ACL2-pc::split
          • ACL2-pc::geneqv
          • ACL2-pc::prove
            • ACL2-pc::help
            • ACL2-pc::save
            • ACL2-pc::do-all
            • ACL2-pc::demote
            • ACL2-pc::wrap1
            • ACL2-pc::show-abbreviations
            • ACL2-pc::promote
            • ACL2-pc::retrieve
            • ACL2-pc::reduce
            • ACL2-pc::forwardchain
            • ACL2-pc::doc
            • ACL2-pc::bash
            • ACL2-pc::p-top
            • ACL2-pc::print
            • ACL2-pc::expand
            • ACL2-pc::bk
            • ACL2-pc::wrap
            • ACL2-pc::remove-abbreviations
            • ACL2-pc::reduce-by-induction
            • ACL2-pc::induct
            • ACL2-pc::unsave
            • ACL2-pc::undo
            • ACL2-pc::top
            • ACL2-pc::restore
            • ACL2-pc::replay
            • ACL2-pc::psog
            • ACL2-pc::p
            • ACL2-pc::nx
            • ACL2-pc::noise
            • ACL2-pc::contrapose
            • ACL2-pc::wrap-induct
            • ACL2-pc::pso!
            • ACL2-pc::pso
            • ACL2-pc::up
            • ACL2-pc::then
            • ACL2-pc::th
            • ACL2-pc::sl
            • ACL2-pc::show-type-prescriptions
            • ACL2-pc::bdd
            • ACL2-pc::repeat
            • ACL2-pc::pr
            • ACL2-pc::pl
            • ACL2-pc::finish
            • ACL2-pc::commands
            • ACL2-pc::change-goal
            • ACL2-pc::use
            • ACL2-pc::show-linears
            • ACL2-pc::s-prop
            • ACL2-pc::runes
            • ACL2-pc::protect
            • ACL2-pc::instantiate
            • ACL2-pc::insist-all-proved
            • ACL2-pc::fail
            • ACL2-pc::clause-processor
            • ACL2-pc::bookmark
            • ACL2-pc::retain
            • ACL2-pc::quiet!
            • ACL2-pc::pro
            • ACL2-pc::orelse
            • ACL2-pc::goals
            • ACL2-pc::drop
            • ACL2-pc::do-strict
            • ACL2-pc::print-all-concs
            • ACL2-pc::do-all-no-prompt
            • ACL2-pc::x-dumb
            • ACL2-pc::succeed
            • ACL2-pc::print-all-goals
            • ACL2-pc::pp
            • ACL2-pc::noise!
            • ACL2-pc::nil
            • ACL2-pc::negate
            • ACL2-pc::illegal
            • ACL2-pc::elim
            • ACL2-pc::sls
            • ACL2-pc::quiet
            • ACL2-pc::claim-simple
            • ACL2-pc::cg
            • ACL2-pc::pro-or-skip
            • ACL2-pc::ex
            • ACL2-pc::comment
            • ACL2-pc::ACL2-wrap
            • ACL2-pc::when-not-proved
            • ACL2-pc::skip
            • ACL2-pc::retain-or-skip
            • ACL2-pc::repeat-until-done
            • ACL2-pc::free
            • ACL2-pc::drop-or-skip
            • ACL2-pc::cg-or-skip
            • ACL2-pc::by
            • ACL2-pc::split-in-theory
            • ACL2-pc::st
            • ACL2-pc::sr
            • ACL2-pc::print-main
            • ACL2-pc::lemmas-used
            • ACL2-pc::cl-proc
            • ACL2-pc::al
            • ACL2-pc::run-instr-on-new-goals
            • ACL2-pc::run-instr-on-goal
            • ACL2-pc::repeat-rec
            • ACL2-pc::r
            • ACL2-pc::contradict
          • Proof-builder-commands-short-list
          • Dive-into-macros-table
          • Verify
          • Define-pc-macro
          • Macro-command
          • Define-pc-help
          • Toggle-pc-macro
          • Define-pc-meta
          • Retrieve
          • Unsave
          • Proof-checker
        • Hons-and-memoization
        • Events
        • History
        • Parallelism
        • Programming
        • Start-here
        • Real
        • Debugging
        • Miscellaneous
        • Output-controls
        • Macros
        • Interfacing-tools
      • Interfacing-tools
      • Hardware-verification
      • Software-verification
      • Testing-utilities
      • Math
    • Proof-builder-commands
    • Proof-builder-commands-short-list

    ACL2-pc::prove

    (primitive) call the ACL2 theorem prover to prove the current goal

    Examples:
    prove -- attempt to prove the current goal
    (prove :otf-flg t
           :hints (("Subgoal 2" :by foo) ("Subgoal 1" :use bar)))
          -- attempt to prove the current goal, with the indicated hints
             and with OTF-FLG set
    
    General Form:
    (prove &rest rest-args)

    Attempt to prove the current goal, where rest-args is as in the keyword arguments to defthm except that only :hints and :otf-flg are allowed. The command succeeds exactly when the corresponding defthm would succeed, except that it is all right for some goals to be given ``bye''s. Each goal given a ``bye'' will be turned into a new subgoal. (See hints for an explanation of :by hints.)

    Remark: Use (= t) instead if you are not at the top of the conclusion. Also note that if there are any hypotheses in the current goal, then what is actually attempted is a proof of (implies hyps conc), where hyps is the conjunction of the top-level hypotheses and conc is the goal's conclusion.

    Remark: It is allowed to use abbreviations in the hints.